What is the Greatest Common Factor of 74896 and 74909?

Greatest common factor (GCF) of 74896 and 74909 is 1.

GCF(74896,74909) = 1

We will now calculate the prime factors of 74896 and 74909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74896 and 74909.

How to find the GCF of 74896 and 74909?

We will first find the prime factorization of 74896 and 74909. After we will calculate the factors of 74896 and 74909 and find the biggest common factor number .

Step-1: Prime Factorization of 74896

Prime factors of 74896 are 2, 31, 151. Prime factorization of 74896 in exponential form is:

74896 = 2⁴ × 31¹ × 151¹

Step-2: Prime Factorization of 74909

Prime factors of 74909 are 173, 433. Prime factorization of 74909 in exponential form is:

74909 = 173¹ × 433¹

Step-3: Factors of 74896

List of positive integer factors of 74896 that divides 74896 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 151, 248, 302, 496, 604, 1208, 2416, 4681, 9362, 18724, 37448

Step-4: Factors of 74909

List of positive integer factors of 74909 that divides 74896 without a remainder.

1, 173, 433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74896 and 74909. The biggest common factor number is the GCF number.
So the greatest common factor 74896 and 74909 is 1.

Also check out the Least Common Multiple of 74896 and 74909